Answer: original angle = 75°
Its supplement 105°
Its complement = 15°
Step-by-step explanation:
We know that,
- Sum of supplementary angles is 180 degrees.
- Sum of complementary angles is 90 degrees.
Let x be the original angle , then its supplement = 180° - x
its complement = 90° - x
As per given,
180° - x = 7(90° - x)
⇒ 180° - x = 630° - 7x
⇒ 7x- x = 630° -180°
⇒ 6 x = 450°
⇒ x = 75° [divide both sides by 6]
So, original angle = 75°
Its supplement = 180° - 75° = 105°
Its complement = 90° -75° = 15°
Hence, original angle = 75°
Its supplement 105°
Its complement = 15°
Answer:
B) 4x-5-3x=x+5 has no solution.
Step-by-step explanation:
A) 4x+4=4-4x
4x-(-4x)+4=4
4x+4x+4=4
8x+4=4
8x=4-4
8x=0
x=0/8
x=0
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B) 4x-5-3x=x+5
4x-3x-5=x+5
x-5=x+5
x-x-5=5
-5=5
no solution.
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C) 4x+15-9x=5x+15
4x-9x+15=5x+15
-5x+15=5x+15
-5x-5x+15=15
-10x+15=15
-10x=15-15
-10x=0
x=0/-10
x=0
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D) 4x+2-x=4+3x-2
3x+2=3x+4-2
3x+2=3x+2
infinitely many solutions.
Answer:log48
Step-by-step explanation:
3log4+log6-log8
log4^3 + log6 - log8
log(4x4x4)+log6-log8
log64 + log6 - log8
log((64x6) ➗ 8)
log(384 ➗ 8)
log48
Answer to part 1 is 2/6 for the slope(or gradient) of the line
Answer:
1 hour and 23 minutes
Step-by-step explanation:
11:32-10:09=1:23
Thinking through this logically, one hour after 10:09 is 11:09 and we know that it took him longer than this.
We can then subtract the minutes without having to worry about the base-60.
32 minutes -9 minutes =23 minutes
We then add the 23 minutes to the 1 hour and determine that it took him 1:23 (one hour and twenty-three minutes).
